Answer
$2ln(1+e^x)+C$
Work Step by Step
$\int \frac 2 {e^{-x}+1}dx$
$u=1+e^x; du=e^xdx$
$2\int \frac 2 {e^{-x}+1}\times (\frac {e^x}{e^x})dx$
$2\int \frac {e^x}{1+e^x}dx$
$2ln(1+e^x)+C$
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 8 - Integration Techniques, L'Hopital's Rule, and Improper Integrals - 8.1 Exercises - Page 512: 33
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